Reconstruction of the Refractive Index from Experimental Backscattering Data Using a Globally Convergent Inverse Method
Journal article, 2014

The problem to be studied in this work is within the context of coefficient identification problems for the wave equation. More precisely, we consider the problem of reconstruction of the refractive index (or equivalently, the dielectric constant) of an inhomogeneous medium using one backscattering boundary measurement. The goal of this paper is to analyze the performance of the globally convergent algorithm of Beilina and Klibanov on experimental data collected using a microwave scattering facility at the University of North Carolina at Charlotte. The main challenge in working with experimental data is the huge misfit between these data and computationally simulated data. We present data preprocessing steps to make the former somehow look similar to the latter. Results of both nonblind and blind targets are shown that indicate good reconstructions even for high contrasts between the targets and the background medium.

wave equation

experimental data

globally convergent algorithm

Mathematics

data

coefficient identification

Author

Nguyen Trung Thanh

The University of North Carolina System

Larisa Beilina

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

M. V. Klibanov

The University of North Carolina System

M. A. Fiddy

The University of North Carolina System

SIAM Journal of Scientific Computing

1064-8275 (ISSN) 1095-7197 (eISSN)

Vol. 36 3 B273-B293

Subject Categories (SSIF 2011)

Mathematics

DOI

10.1137/130924962

More information

Latest update

4/4/2025 7